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Finding the Fourth Proportional to 287,586.26, 431,380.50 and 87,905.87

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Solution

The fourth proportional to 287,586.26, 431,380.50 and 87,905.87 is: 131,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,586.26 : 431,380.50 = 87,905.87 : x
  2. Step 2: Convert to fraction form
    287,586.26/431,380.50 = 87,905.87/x
  3. Step 3: Cross multiply
    287,586.26x = 431,380.50 × 87,905.87
  4. Step 4: Simplify right side
    287,586.26x = 37,920,878,153.54
  5. Step 5: Solve for x
    x = 37,920,878,153.54/287,586.26
  6. Step 6: Final answer
    x = 131,859.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.